What is the Least Common Multiple of 60096 and 60114?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 60096 and 60114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60096 and 60114, than apply into the LCM equation.

GCF(60096,60114) = 6
LCM(60096,60114) = ( 60096 × 60114) / 6
LCM(60096,60114) = 3612610944 / 6
LCM(60096,60114) = 602101824

Least Common Multiple (LCM) of 60096 and 60114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60096 and 60114. First we will calculate the prime factors of 60096 and 60114.

Prime Factorization of 60096

Prime Factorization of 60114

Now multiplying the highest exponent prime factors to calculate the LCM of 60096 and 60114.

LCM(60096,60114) = 2⁶ × 3¹ × 313¹ × 43¹ × 233¹
LCM(60096,60114) = 602101824